Rewrite (21+31).4 using the disbributive property of multiplication over addition
1 answer:
You might be interested in
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest =
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125
Formula to compute compound amount :
When both have same worth then
taking log on both sides , we get
Hence, Value of r= 1.22
Answer:
It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.
Step-by-step explanation:
Given:
Let the time taken for push-ups be 'x'.
Let the time taken for sit-ups be 'y'.
Now Given:
17 push-ups and 6 sit-ups, it takes a total of 35 seconds.
So we can say that;
Also Given:
41 seconds to do 20 push-ups and 7 sit-ups.
so we can say that;
Now Multiplying equation 1 by 7 we get;
Now Multiplying equation 2 by 6 we get;
Now Subtracting equation 3 from equation 4 we get;
Now substituting the value of x in equation 1 we get;
Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.
Answer:
Step-by-step explanation:
This is written in the standard form of a quadratic function:
where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:
where:
- (h,k) → vertex
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
Using your original equation, identify the a, b, and c terms:
Insert the known values into the equation:
Simplify. Two negatives make a positive:
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
Simplify using PEMDAS:
The value of y is -6 (3,-6). Insert these values into the vertex form:
Insert the value of a and simplify:
:Done